Finding the Third Proportional to 10,080 and 13,284

Step by Step Solution

1. Step 1: Write the proportion equation
   10,080 : 13,284 = 13,284 : x
2. Step 2: Convert to fraction form
   10,080/13,284 = 13,284/x
3. Step 3: Cross multiply
   10,080x = 13,284 × 13,284
4. Step 4: Simplify right side
   10,080x = 176,464,656
5. Step 5: Solve for x
   x = 176,464,656/10,080
6. Step 6: Final answer
   x = 17,506.41